On the calculus of parameterized fractal curves

Authors

ALIREZA KHALILI GOLMANKANEH

DOI

10.3906/fiz-1704-7

Abstract

In this paper, we apply $F^{\alpha}$-calculus on the fractal Koch and Ces\`{a}ro curves with different dimensions. A generalized Newton's second law on the fractal Koch and Ces\`{a}ro curves is given. Density of the moving particles absorbed on fractal Ces\`{a}ro are derived. Illustrative examples are given to present the details of $F^{\alpha}$-integrals and $F^{\alpha}$-derivatives.

Keywords

$F^{\alpha}$-calculus, fractal Koch curve, staircase function; fractal Ces\`{a}ro curve

First Page

418

Last Page

425

Recommended Citation

GOLMANKANEH, ALIREZA KHALILI (2017) "On the calculus of parameterized fractal curves," Turkish Journal of Physics: Vol. 41: No. 5, Article 5. https://doi.org/10.3906/fiz-1704-7
Available at: https://journals.tubitak.gov.tr/physics/vol41/iss5/5